Finding the Third Proportional to 25,871.25 and 56,586

Step by Step Solution

1. Step 1: Write the proportion equation
   25,871.25 : 56,586 = 56,586 : x
2. Step 2: Convert to fraction form
   25,871.25/56,586 = 56,586/x
3. Step 3: Cross multiply
   25,871.25x = 56,586 × 56,586
4. Step 4: Simplify right side
   25,871.25x = 3,201,975,396
5. Step 5: Solve for x
   x = 3,201,975,396/25,871.25
6. Step 6: Final answer
   x = 123,765.78